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When asked to multiply polynomials, use the FOIL pattern.
F First Multiply the first terms of each binomial.
O Outer Multiply the outer terms: the first term of the first binomial and the second term or the second binomial.
I Inner Multiply the inner terms: the second term of the first binomial and the first term of the second binomial.
L Last Multiply the second terms of each binomial.
Example:
(-2x-4)(8x+3)
Solution:
(-2x-4)(8x+3)
(-2x)(3)= -6x
(-2x)(8x)= -18x^2
(-4)(3)= -12
(-4)(8x)= -32x
Now, add like terms.
-16x^2-38x+12
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